Lecture 1 - Introduction of Nonlinear systems
Lecture 2 - Review of Linear vibrating systems
Lecture 3 - Phenomena associated with Nonlinear systems
Lecture 4 - Commonly observed Phenomena in Nonlinear systems
Lecture 5 - Force and Moment based Approach
Lecture 6 - Energy based approach Extended Hamilton’s principle and Lagrange Priciple
Lecture 7 - Derivation of Equation of motion of nonlinear discrete system (More examples)
Lecture 8 - Derivation of Equation of motion of nonlinear continuous system - 1
Lecture 9 - Derivation of Equation of motion of nonlinear continuous system - 2
Lecture 10 - Ordering of nonlinear Equation of motion
Lecture 11 - Qualitative Analysis Straight forward expansion
Lecture 12 - Numerical method Straight forward expansion
Lecture 13 - Lindstedt Poincare’ technique
Lecture 14 - Method of multiple scales
Lecture 15 - Method of Harmonic balance
Lecture 16 - Method of averaging
Lecture 17 - Generalized Method of averaging
Lecture 18 - Krylov-Bogoliubov-Mitropolski technique
Lecture 19 - Incremental harmonic balance method and Intrinsic multiple scale harmonic balance method
Lecture 20 - Modified Lindstedt Poincare’ technique
Lecture 21 - Stability and Bifurcation of Fixed-point response - 1
Lecture 22 - Stability and Bifurcation of Fixed-point response - 2
Lecture 23 - Stability and Bifurcation of Fixed-point response - 3
Lecture 24 - Stability and Bifurcation of Fixed-point response - 4
Lecture 25 - Stability Analysis of Periodic response
Lecture 26 - Bifurcation of Periodic response And Introduction to quasi-periodic and Chaotic response
Lecture 27 - Quasi-Periodic and Chaotic response
Lecture 28 - Numerical methods to obtain roots of characteristic equation and time response
Lecture 29 - Numerical methods to obtain time response
Lecture 30 - Numerical methods to obtain frequency response
Lecture 31 - Free Vibration of Single degree of freedom Nonlinear systems with Cubic and quadratic nonlinearities
Lecture 32 - Free Vibration of Single degree of freedom Nonlinear systems with Cubic and quadratic nonlinearities: effect of damping
Lecture 33 - Free Vibration of multi- degree of freedom Nonlinear systems with Cubic and quadratic nonlinearities
Lecture 34 - Forced nonlinear Vibration Single degree of freedom Nonlinear systems with Cubic nonlinearities:
Lecture 35 - Forced nonlinear Vibration Single and multi- degree of freedom Nonlinear systems
Lecture 36 - Nonlinear Forced-Vibration of Single and Multi Degree-of-Freedom System
Lecture 37 - Analysis of Multi- degree of freedom system
Lecture 38 - Nonlinear Vibration of Parametrically excited system: Axially loaded sandwich beam
Lecture 39 - Nonlinear Vibration of Parametrically excited system: Elastic and Magneto-elastic beam
Lecture 40 - Nonlinear Vibration of Parametrically excited system with internal resonance